{"id":"https://openalex.org/W2053929761","doi":"https://doi.org/10.1016/0166-218x(90)90018-8","title":"On minimum matrix representation of closure operations","display_name":"On minimum matrix representation of closure operations","publication_year":1990,"publication_date":"1990-01-01","ids":{"openalex":"https://openalex.org/W2053929761","doi":"https://doi.org/10.1016/0166-218x(90)90018-8","mag":"2053929761"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(90)90018-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(90)90018-8","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053962955","display_name":"F.E. Bennett","orcid":null},"institutions":[{"id":"https://openalex.org/I179301192","display_name":"Mount Saint Vincent University","ror":"https://ror.org/03g3p3b82","country_code":"CA","type":"education","lineage":["https://openalex.org/I179301192"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"F.E. Bennett","raw_affiliation_strings":["Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada B3M 2J6","Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada, B3M 2J6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada B3M 2J6","institution_ids":["https://openalex.org/I179301192"]},{"raw_affiliation_string":"Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada, B3M 2J6","institution_ids":["https://openalex.org/I179301192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083700562","display_name":"Lisheng Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lisheng Wu","raw_affiliation_strings":["Department of Mathematics, Suzhou University, Suzhou, People's Republic of China","Department of Mathematics Suzhou University Suzhou People's Republic of, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Suzhou University, Suzhou, People's Republic of China","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics Suzhou University Suzhou People's Republic of, China","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.5576,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.81964019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"25","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.8965651988983154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8387205600738525},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.756990909576416},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6799486875534058},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6700885891914368},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.5346357822418213},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.5216643810272217},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46372339129447937},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4165094494819641},{"id":"https://openalex.org/keywords/matrix-representation","display_name":"Matrix representation","score":0.4151313006877899},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3609009385108948},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.13967198133468628},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13135197758674622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07732924818992615},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058683812618255615}],"concepts":[{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.8965651988983154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8387205600738525},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.756990909576416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6799486875534058},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6700885891914368},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.5346357822418213},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.5216643810272217},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46372339129447937},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4165094494819641},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.4151313006877899},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3609009385108948},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.13967198133468628},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13135197758674622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07732924818992615},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058683812618255615},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(90)90018-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(90)90018-8","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W43035074","https://openalex.org/W105112013","https://openalex.org/W164275096","https://openalex.org/W1557333724","https://openalex.org/W1992397972","https://openalex.org/W2053573731","https://openalex.org/W2069903885","https://openalex.org/W2075948376","https://openalex.org/W2082207918","https://openalex.org/W2088679936","https://openalex.org/W2611298788","https://openalex.org/W4210440243","https://openalex.org/W4231874819","https://openalex.org/W4236336770","https://openalex.org/W6604261087","https://openalex.org/W6606659536","https://openalex.org/W6633184379"],"related_works":["https://openalex.org/W3123744736","https://openalex.org/W3121299875","https://openalex.org/W1566754092","https://openalex.org/W1996250799","https://openalex.org/W2005695153","https://openalex.org/W1992086467","https://openalex.org/W1996759479","https://openalex.org/W2011918259","https://openalex.org/W2741429854","https://openalex.org/W4214886263"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-21T06:12:48.119943","created_date":"2025-10-10T00:00:00"}